Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810bc |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2217600 |
Modular degree for the optimal curve |
Δ |
-135511891200000 = -1 · 211 · 32 · 55 · 73 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8238692,9098540496] |
[a1,a2,a3,a4,a6] |
Generators |
[1727:-5851:1] |
Generators of the group modulo torsion |
j |
-9016495979563870309819/19756800000 |
j-invariant |
L |
4.3883155757905 |
L(r)(E,1)/r! |
Ω |
0.38075364333643 |
Real period |
R |
0.19208901667101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810dt1 |
Quadratic twists by: -19 |